# Jianing Li  李加宁

## Email: lijn@ustc.edu.cn

• CV(English).pdf        简历(中文版)
• # Teaching 本学期教学

• 2021春, 代数数论, 中国科学技术大学. 1-8讲, 9-16讲(5月17日教学笔记:2.6节), , | 习题(5月17: 2.10-2.12)

# Research Area 研究领域

• Algebraic number theory and Computational number theory. More specifically, Ideal class groups and Iwasawa theory. My research statement
• 代数数论，计算数论。
• Cryptography. The existence problems of generalized bent functions. 密码学。 广义bent函数的存在性问题。
• # Publications and Preprints 发表论文及预印本

• On the λ-invariant of Selmer groups arising from certain quadratic twists of Gross curves. (arXiv:2107.03027).
• (with Shenxing Zhang) The 3-class groups of $\mathbf{Q}(\sqrt[3]{p})$ and its normal closure. Mathematische Zeitschrift https://doi.org/10.1007/s00209-021-02797-5.
• (with Yi Ouyang, Yue Xu) On abelian 2-ramification torsion modules of quadratic fields (submitted) (arXiv:2009.13262).
• (with John Coates, Yongxiong Li) Classical Iwasawa theory and infinite descent on a family of abelian varieties. 27 (2021), no. 2, Paper No. 28, 36 pp (https://doi.org/10.1007/s00029-021-00644-3).
• On 2-adic logarithm of units of pure imaginary quartic fields. Asian Journal of Mathematics, to appear (arXiv:2005.09926). A stronger unpublished version
• (with Yue Xu) On class numbers of pure quartic fields. Ramanujan Journal (2020) https://doi.org/10.1007/s11139-020-00253-2 .
• (with Chia-Fu Yu) The Chevalley-Gras formula over global fields. Journal de Théorie des Nombres de Bordeaux, vol. 32, no. 2, pp. 525-543. (2020)
• (with Yi Ouyang, Yue Xu, Shenxing Zhang) $\ell$-Class groups of fields in Kummer tower. Publicacions Matemàtiques, to appear (arxiv:1905.04966).
• (with Yingpu Deng) Nonexistence of two classes of generalized bent functions. Designs, Codes and Cryptography. vol. 85, no. 3, pp. 471-482 (2017). doi: 10.1007/s10623-016-0319-z .
• (with Chang Lv) On the Non-Existence of Certain Classes of Generalized Bent Functions. IEEE Transactions on Information Theory, vol. 63, no. 1, pp. 738-746, Jan. 2017. doi: 10.1109/TIT.2016.2624269 .
• # Slides of My Talks

• Oct,16-19,2019. Invited speaker in ICCGNRT2019 conference. Harish-Chandra Research Institute. slide
• May,27,2020. Invited talk in AMSS. slide
• February,03,2021. Invited talk in XJTLU. slide
• # Previous Teaching 过往教学

• 2018 spring, Algebraic Number Theory. Exam and answer (in Chinese). 2018春，代数数论。 期末试题与答案